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Simplifying (7x + 6y)(7x + -6y) = 0 Multiply (7x + 6y) * (7x + -6y) (7x * (7x + -6y) + 6y * (7x + -6y)) = 0 ((7x * 7x + -6y * 7x) + 6y * (7x + -6y)) = 0 Reorder the terms: ((-42xy + 49x2) + 6y * (7x + -6y)) = 0 ((-42xy + 49x2) + 6y * (7x + -6y)) = 0 (-42xy + 49x2 + (7x * 6y + -6y * 6y)) = 0 (-42xy + 49x2 + (42xy + -36y2)) = 0 Reorder the terms: (-42xy + 42xy + 49x2 + -36y2) = 0 Combine like terms: -42xy + 42xy = 0 (0 + 49x2 + -36y2) = 0 (49x2 + -36y2) = 0 Solving 49x2 + -36y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36y2' to each side of the equation. 49x2 + -36y2 + 36y2 = 0 + 36y2 Combine like terms: -36y2 + 36y2 = 0 49x2 + 0 = 0 + 36y2 49x2 = 0 + 36y2 Remove the zero: 49x2 = 36y2 Divide each side by '49'. x2 = 0.7346938776y2 Simplifying x2 = 0.7346938776y2 Take the square root of each side: x = {-0.857142857y, 0.857142857y}
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